1c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// This file is part of Eigen, a lightweight C++ template library 2c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// for linear algebra. 3c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// 4c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Copyright (C) 2007-2009 Benoit Jacob <jacob.benoit.1@gmail.com> 5c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Copyright (C) 2009-2010 Gael Guennebaud <gael.guennebaud@inria.fr> 6c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// 7c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// This Source Code Form is subject to the terms of the Mozilla 8c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Public License v. 2.0. If a copy of the MPL was not distributed 9c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// with this file, You can obtain one at http://mozilla.org/MPL/2.0/. 10c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 11c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#ifndef EIGEN_DIAGONAL_H 12c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#define EIGEN_DIAGONAL_H 13c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 14c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathnamespace Eigen { 15c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 16c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** \class Diagonal 17c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * \ingroup Core_Module 18c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 19c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * \brief Expression of a diagonal/subdiagonal/superdiagonal in a matrix 20c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 21c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * \param MatrixType the type of the object in which we are taking a sub/main/super diagonal 22c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * \param DiagIndex the index of the sub/super diagonal. The default is 0 and it means the main diagonal. 23c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * A positive value means a superdiagonal, a negative value means a subdiagonal. 24c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * You can also use Dynamic so the index can be set at runtime. 25c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 26c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * The matrix is not required to be square. 27c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 28c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * This class represents an expression of the main diagonal, or any sub/super diagonal 29c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * of a square matrix. It is the return type of MatrixBase::diagonal() and MatrixBase::diagonal(Index) and most of the 30c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * time this is the only way it is used. 31c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 32c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * \sa MatrixBase::diagonal(), MatrixBase::diagonal(Index) 33c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath */ 34c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 35c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathnamespace internal { 36c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename MatrixType, int DiagIndex> 37c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathstruct traits<Diagonal<MatrixType,DiagIndex> > 38c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath : traits<MatrixType> 39c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 40c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename nested<MatrixType>::type MatrixTypeNested; 41c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename remove_reference<MatrixTypeNested>::type _MatrixTypeNested; 42c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename MatrixType::StorageKind StorageKind; 43c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath enum { 447faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez RowsAtCompileTime = (int(DiagIndex) == DynamicIndex || int(MatrixType::SizeAtCompileTime) == Dynamic) ? Dynamic 457faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez : (EIGEN_PLAIN_ENUM_MIN(MatrixType::RowsAtCompileTime - EIGEN_PLAIN_ENUM_MAX(-DiagIndex, 0), 467faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez MatrixType::ColsAtCompileTime - EIGEN_PLAIN_ENUM_MAX( DiagIndex, 0))), 47c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath ColsAtCompileTime = 1, 48c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MaxRowsAtCompileTime = int(MatrixType::MaxSizeAtCompileTime) == Dynamic ? Dynamic 497faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez : DiagIndex == DynamicIndex ? EIGEN_SIZE_MIN_PREFER_FIXED(MatrixType::MaxRowsAtCompileTime, 50c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MatrixType::MaxColsAtCompileTime) 51c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath : (EIGEN_PLAIN_ENUM_MIN(MatrixType::MaxRowsAtCompileTime - EIGEN_PLAIN_ENUM_MAX(-DiagIndex, 0), 52c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MatrixType::MaxColsAtCompileTime - EIGEN_PLAIN_ENUM_MAX( DiagIndex, 0))), 53c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MaxColsAtCompileTime = 1, 54c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MaskLvalueBit = is_lvalue<MatrixType>::value ? LvalueBit : 0, 55c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Flags = (unsigned int)_MatrixTypeNested::Flags & (HereditaryBits | LinearAccessBit | MaskLvalueBit | DirectAccessBit) & ~RowMajorBit, 56c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath CoeffReadCost = _MatrixTypeNested::CoeffReadCost, 57c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath MatrixTypeOuterStride = outer_stride_at_compile_time<MatrixType>::ret, 58c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath InnerStrideAtCompileTime = MatrixTypeOuterStride == Dynamic ? Dynamic : MatrixTypeOuterStride+1, 59c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath OuterStrideAtCompileTime = 0 60c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath }; 61c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 62c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 63c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 647faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandeztemplate<typename MatrixType, int _DiagIndex> class Diagonal 657faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez : public internal::dense_xpr_base< Diagonal<MatrixType,_DiagIndex> >::type 66c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 67c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath public: 68c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 697faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez enum { DiagIndex = _DiagIndex }; 70c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename internal::dense_xpr_base<Diagonal>::type Base; 71c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EIGEN_DENSE_PUBLIC_INTERFACE(Diagonal) 72c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 737faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez inline Diagonal(MatrixType& matrix, Index a_index = DiagIndex) : m_matrix(matrix), m_index(a_index) {} 74c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 75c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Diagonal) 76c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 77c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline Index rows() const 787faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez { return m_index.value()<0 ? (std::min<Index>)(m_matrix.cols(),m_matrix.rows()+m_index.value()) : (std::min<Index>)(m_matrix.rows(),m_matrix.cols()-m_index.value()); } 79c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 80c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline Index cols() const { return 1; } 81c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 82c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline Index innerStride() const 83c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 84c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return m_matrix.outerStride() + 1; 85c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 86c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 87c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline Index outerStride() const 88c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 89c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return 0; 90c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 91c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 92c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typedef typename internal::conditional< 93c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath internal::is_lvalue<MatrixType>::value, 94c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath Scalar, 95c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const Scalar 96c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath >::type ScalarWithConstIfNotLvalue; 97c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 98c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline ScalarWithConstIfNotLvalue* data() { return &(m_matrix.const_cast_derived().coeffRef(rowOffset(), colOffset())); } 99c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline const Scalar* data() const { return &(m_matrix.const_cast_derived().coeffRef(rowOffset(), colOffset())); } 100c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 101c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline Scalar& coeffRef(Index row, Index) 102c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 103c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EIGEN_STATIC_ASSERT_LVALUE(MatrixType) 104c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return m_matrix.const_cast_derived().coeffRef(row+rowOffset(), row+colOffset()); 105c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 106c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 107c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline const Scalar& coeffRef(Index row, Index) const 108c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 109c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return m_matrix.const_cast_derived().coeffRef(row+rowOffset(), row+colOffset()); 110c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 111c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 112c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath inline CoeffReturnType coeff(Index row, Index) const 113c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 114c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return m_matrix.coeff(row+rowOffset(), row+colOffset()); 115c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 116c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 1177faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez inline Scalar& coeffRef(Index idx) 118c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 119c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EIGEN_STATIC_ASSERT_LVALUE(MatrixType) 1207faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez return m_matrix.const_cast_derived().coeffRef(idx+rowOffset(), idx+colOffset()); 121c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 122c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 1237faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez inline const Scalar& coeffRef(Index idx) const 124c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 1257faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez return m_matrix.const_cast_derived().coeffRef(idx+rowOffset(), idx+colOffset()); 126c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 127c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 1287faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez inline CoeffReturnType coeff(Index idx) const 129c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 1307faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez return m_matrix.coeff(idx+rowOffset(), idx+colOffset()); 131c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 132c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 133c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath const typename internal::remove_all<typename MatrixType::Nested>::type& 134c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath nestedExpression() const 135c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 136c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return m_matrix; 137c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 138c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 139c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath int index() const 140c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath { 141c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return m_index.value(); 142c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath } 143c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 144c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath protected: 145c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath typename MatrixType::Nested m_matrix; 1467faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez const internal::variable_if_dynamicindex<Index, DiagIndex> m_index; 147c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 148c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath private: 149c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // some compilers may fail to optimize std::max etc in case of compile-time constants... 150c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EIGEN_STRONG_INLINE Index absDiagIndex() const { return m_index.value()>0 ? m_index.value() : -m_index.value(); } 151c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EIGEN_STRONG_INLINE Index rowOffset() const { return m_index.value()>0 ? 0 : -m_index.value(); } 152c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath EIGEN_STRONG_INLINE Index colOffset() const { return m_index.value()>0 ? m_index.value() : 0; } 153c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath // triger a compile time error is someone try to call packet 154c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath template<int LoadMode> typename MatrixType::PacketReturnType packet(Index) const; 155c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath template<int LoadMode> typename MatrixType::PacketReturnType packet(Index,Index) const; 156c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}; 157c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 158c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** \returns an expression of the main diagonal of the matrix \c *this 159c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 160c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * \c *this is not required to be square. 161c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 162c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * Example: \include MatrixBase_diagonal.cpp 163c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * Output: \verbinclude MatrixBase_diagonal.out 164c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 165c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * \sa class Diagonal */ 166c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived> 167c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline typename MatrixBase<Derived>::DiagonalReturnType 168c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan KamathMatrixBase<Derived>::diagonal() 169c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 170c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return derived(); 171c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 172c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 173c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** This is the const version of diagonal(). */ 174c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived> 1757faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandezinline typename MatrixBase<Derived>::ConstDiagonalReturnType 176c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan KamathMatrixBase<Derived>::diagonal() const 177c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 178c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return ConstDiagonalReturnType(derived()); 179c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 180c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 181c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** \returns an expression of the \a DiagIndex-th sub or super diagonal of the matrix \c *this 182c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 183c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * \c *this is not required to be square. 184c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 185c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * The template parameter \a DiagIndex represent a super diagonal if \a DiagIndex > 0 186c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * and a sub diagonal otherwise. \a DiagIndex == 0 is equivalent to the main diagonal. 187c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 188c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * Example: \include MatrixBase_diagonal_int.cpp 189c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * Output: \verbinclude MatrixBase_diagonal_int.out 190c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 191c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * \sa MatrixBase::diagonal(), class Diagonal */ 192c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived> 1937faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandezinline typename MatrixBase<Derived>::template DiagonalIndexReturnType<DynamicIndex>::Type 194c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan KamathMatrixBase<Derived>::diagonal(Index index) 195c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 1967faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez return typename DiagonalIndexReturnType<DynamicIndex>::Type(derived(), index); 197c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 198c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 199c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** This is the const version of diagonal(Index). */ 200c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived> 2017faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandezinline typename MatrixBase<Derived>::template ConstDiagonalIndexReturnType<DynamicIndex>::Type 202c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan KamathMatrixBase<Derived>::diagonal(Index index) const 203c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 2047faaa9f3f0df9d23790277834d426c3d992ac3baCarlos Hernandez return typename ConstDiagonalIndexReturnType<DynamicIndex>::Type(derived(), index); 205c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 206c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 207c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** \returns an expression of the \a DiagIndex-th sub or super diagonal of the matrix \c *this 208c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 209c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * \c *this is not required to be square. 210c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 211c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * The template parameter \a DiagIndex represent a super diagonal if \a DiagIndex > 0 212c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * and a sub diagonal otherwise. \a DiagIndex == 0 is equivalent to the main diagonal. 213c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 214c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * Example: \include MatrixBase_diagonal_template_int.cpp 215c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * Output: \verbinclude MatrixBase_diagonal_template_int.out 216c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * 217c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath * \sa MatrixBase::diagonal(), class Diagonal */ 218c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived> 219c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<int Index> 220c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline typename MatrixBase<Derived>::template DiagonalIndexReturnType<Index>::Type 221c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan KamathMatrixBase<Derived>::diagonal() 222c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 223c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return derived(); 224c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 225c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 226c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** This is the const version of diagonal<int>(). */ 227c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename Derived> 228c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<int Index> 229c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline typename MatrixBase<Derived>::template ConstDiagonalIndexReturnType<Index>::Type 230c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan KamathMatrixBase<Derived>::diagonal() const 231c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{ 232c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath return derived(); 233c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} 234c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 235c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath} // end namespace Eigen 236c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath 237c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#endif // EIGEN_DIAGONAL_H 238